566556144 has 320 divisors, whose sum is σ = 1974730752. Its totient is φ = 135475200.

The previous prime is 566556131. The next prime is 566556149. The reversal of 566556144 is 441655665.

566556144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 566556096 and 566556105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566556149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4461009 + ... + 4461135.

Almost surely, 2^566556144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566556144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987365376).

566556144 is an abundant number, since it is smaller than the sum of its proper divisors (1408174608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

566556144 is a wasteful number, since it uses less digits than its factorization.

566556144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 566556144 is about 23802.4398749372. The cubic root of 566556144 is about 827.4612238625.

The spelling of 566556144 in words is "five hundred sixty-six million, five hundred fifty-six thousand, one hundred forty-four".